一类高维李代数及其应用

A higher-dimensional Lie algebra and its applications

介绍了一类高维李代数H及其相应的loop代数H.利用loop代数H和Tu格式,得到了一类新的可积方程族可积耦合的耦合,它可以化简为一类类似于GBK方程的可积耦合的耦合.

A higher-dimensional Lie algebra H and corresponding loop algebra are introduced firstly.By taking advantage of and Tu scheme,a coupling of integrable couplings of a hierarchy is obtained.The coupling of integrable couplings of the new hierarchy can be reduced to two kinds of coupling of integrable couplings similar to that of GBK equation.